T(1) theorem for dyadic singular integral forms associated with hypergraphs
Classical Analysis and ODEs
2022-06-13 v1
Abstract
This paper studies dyadic singular integral forms associated with -partite -uniform hypergraphs such that all their connected components are complete. We characterize their boundedness by T(1)-type conditions in two different ways. We also dominate these forms by positive sparse forms and prove weighted estimates with multilinear Muckenhoupt weights.
Cite
@article{arxiv.1902.10462,
title = {T(1) theorem for dyadic singular integral forms associated with hypergraphs},
author = {Mario Stipčić},
journal= {arXiv preprint arXiv:1902.10462},
year = {2022}
}
Comments
25 pages